technically it's not 'natural' because it does use those stabilizing oils. however, since they aren't hydrogenated and no sugar is added, it's close enough (and more importantly, is better for you, than say peter pan or reese's brand pb).
also - when i buy natural pb, i store it in upside down in the fridge for a day, THEN i open it, stir it vigorously, and stick it back in the fridge. you can either leave it in the fridge or take it out after a day. i prefer to take it out (and if it starts to break down, i just store it upside down and give it a little stir) because cold pb just doesn't taste as good as room temp pb.